Q2. Integer Programming Kim's Kitchen makes Signature Sandwich Combos to famous restaurants worldwide. In order to meet demand, they are considering setting up a facility in each region in order to achieve lower transportation cost and to possibly avoid duties that could be imposed if the product is imported from another region. The disadvantage of this approach is that factories are sized to meet local demand and may not fully exploit economies of scale. Therefore, Kim's kitchen is also interested in determining the appropriate size of the facility to build in each location and are choosing between facilities with capacities of 3, 6 or 12 million Demand Region Production and Transportation Cost per One Million Units Low Medium High Capacity Capacity Capacity Supply North Jurassic Dizzney Fixed Fixed Fixed Region Corea Land Land Cost Capacity Cost Capacity Cost Atlantis Capacity North 25 60 81 42 1000 3 1200 6 2200 12 Corea 12 70 32 21 1500 3 2500 6 3500 12 15 45 17 23 2000 3 Attlantis Juurassic World Dizzney Land 3000 6 4000 12 21 16 31 27 1800 3 2800 6 3600 12 5 9 12 15 Demand Xij - the amount ship from supply region i to demand region) ( 10.4,5 -0,...,4,5) Y = if you select k facility in supply region i M Medium Capacity kuLLow capacity H. High Capacity Answer to the question a, b, c, d, e, f. QUESTION 6 Q2 - (a) With the given decision variables, choose the right objective function. Min Z - 25X1160X21 31X31 +42X41. 12X12 70X22 32X32 21X14+ 16X24 +31X34 27X44 +1000Y1L 1200Y1M + 2200V1H OA + 1800Y4L2000 OM3600Y4H OB Min Z-25X11 + 60X12.31X13 + 42X14 - 12/21 + 70X22 32X321X41 16X42 +31X43.27X24 + 1000Y1L1200V1M 2200Y1H + 1800Y4L+2800Y4M + 3600Y4H Min Z-25X1160X21 +81X31 +42X41 + 12X12 + 70X22 + 32X32 21X14 + 16X24 +31X34.27X44- (1000Y1L+ 1200V1M +220071H 1800Y4L.2800Y4M + 3600Y4H) Min Z = 25X11.60X12 +81X13 + 42X14 - 12/21 + 70X2232823 21X41+ 16X42 31X43 +27X44 -1000Y1L 1200V1M 220071H +1800Y4L+280074M + 3600Y4H) QUESTION ? Q2. (b) With the given decision variables, find the right constraint for the following statement. Jurassic Land is critical for the future of the company. Hence, the company wants to ensure that either a low medium or high capacity facility is built in the Jurassic Land supply region OA Y3L + Y3M + Y3H = 2 OB Y3L Y3M - Y3H = 1 OCY3L + Y3M - Y3H = 1 OD Y3L - Y3M - Y3H = 1 QUESTION Q2. (c) With given decision variables, choose the right objective function, "If high capacity facility in built in Dizzney Land, dien medium capacity must be built in North Corea as well DA YAHYAM OBY4H - Y1M = 1 CY4H - Y1L = 1 OO YAH - Y1M QUESTION 9 Q2-(d) With the given decision variables, find the right constraint for the following statement. "If medium capacity facility is built in Atlantis, then at least coe low or high capacity must be built in North Corea as well." OA Y2L SY1MY1H B.Y2M SY1L + Y1H OC.Y2M+Y1L Y1H ODY2M - Y1L + Y1H QUESTION 10 Q2. (e) With the given decision variables, find the right constraint for the following statement. "The company wants to have at least one High Capacity Facility in either Alliantis Jurassic Land or Dizzney Land." O AY2H + Y3H +Y4H 2 1 B.Y2H + Y3H+Y4H = 1 OCY1H + Y3H +Y4H = 1 ODY2H + Y1H +Y4H $ 1 QUESTION 11 Q2 - With the given decision variables, find the right constraint for the supply region in "Dizzney Land O A X14 + X24+X34-X44 3Y4L - 12Y4H + 6Y4M O 8 X41 +X42 + X43-X44 $ 3Y4L + 12Y4H - 6Y4M o X11 -X12 + X13 - X14 3Y4L + 12Y4H +6Y4M DX41 +X42X43 + X44 = 3Y4L + 12Y4H - 6Y4M